engage.

To interact socially. To engross or hold the attention of; to keep busy or occupied.

To interact socially. To draw into conversation.

To interact socially. To attract, to please; (archaic) to fascinate or win over (someone).

To interact antagonistically. To enter into conflict with (an enemy).

To interact antagonistically. To enter into battle.

To interact contractually. To arrange to employ or use (a worker, a space, etc.).

To interact contractually. To guarantee or promise (to do something).

To interact contractually. To bind through legal or moral obligation (to do something, especially to marry) (usually in passive).

They were engaged last month! They're planning to have the wedding next year.

To interact contractually. To pledge, pawn (one's property); to put (something) at risk or on the line; to mortgage (houses, land).

To interact mechanically. To mesh or interlock (of machinery, especially a clutch).

Whenever I engage the clutch, the car stalls out.

To interact mechanically. To come into gear with.

To interact mechanically. To activate a lock.

He engaged the lock on the door.

The lock engaged automatically when the door was shut.

To entangle.